Long-wave limit in the nonlinear theory of transverse modulations of solitons
Zhdanov S. K.
Unstable, long-wave kinks in solitons are analyzed for various wave equations by the method of Whitham (Linear and Nonlinear Waves, Wiley-Interscience, New York, 1974). The problem is reduced to "gas-like" equations which represent new quasi-Chaplygin media {B. A. Trubnikov and S. K. Zhdanov, Fiz. Plazmy 12, No. 6 (1986); [Sov. J. Plasma Phys. 12, No. 6 (1986) ]; Pis'maZh. Eksp. Teor. Fiz. 43, 178 (1986) [JETP Lett. 43, 226 (1986)]}.
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![](/ps/1407/article_21369_800_head.png "Unstable, long-wave kinks in solitons are analyzed for various wave equations by the method of Whitham (Linear and Nonlinear Waves, Wiley-Interscience, New York, 1974). The problem is reduced to "gas-like" equations which represent new quasi-Chaplygin media {B. A. Trubnikov and S. K. Zhdanov, Fiz. Plazmy 12, No. 6 (1986); [Sov. J. Plasma Phys. 12, No. 6 (1986) ]; Pis'maZh. Eksp. Teor. Fiz. 43, 178 (1986) [JETP Lett. 43, 226 (1986)]}.")